Show that the equation by `by+cz+d=0` represents a plane parallel to the x-axis. Find the equation of a plane which is parallel to the x-axis and passes through the points A(2,3,1) and B(4,-5,3).

Show that the equation ax+by+d=0 represents a plane parallel to the z-axis. Hence find the equation of plane parallel to the z-axis and passing through the points (-4,7,6) and(2,-3,1). Also convert to vector form.

Show that the equation ax+by+d=0 represents a plane parallel to the z-axis. Hence, find the equation of a plane which is parallel to the z-axis. Hence, find the equation of a plane which is parallel to the z-axis nd passes through the points A(2,-3,-1) and B(-4,7,6) .

Find the equation of the parabola with its axis parallel to the x-axis and which passes through the point (-2,1), (1,2)" and "(-3,3) .

Find the equation of the plane which is parallel to the plane 2x-3y+z+8=0 and which passes through the point (-1,1,2).

Find the equation of the parabola whose axis is parallel to x-axis and which passes through points (0,0), (1,1) and (2, 3)

Find the equation of the parabola whose axis is parallel to x-axis and which passes through points (0,0), (1,1) and (2, 3)

Find the equation of the line parallel to x-axis and passing through (3,-5).

Find the equation of the line parallel to x-axis and passing through (3,-5).

Find the equation of the line parallel to x-axis and passing through (2,-3).

Find the equation of the plane parallel to the plane 4x-3y+2z+1=0 and passing through the point (5,1,-6)